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Finding the Fourth Proportional to 9,809.13, 14,709.07 and 3,564.75

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Solution

The fourth proportional to 9,809.13, 14,709.07 and 3,564.75 is: 5,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.13 : 14,709.07 = 3,564.75 : x
  2. Step 2: Convert to fraction form
    9,809.13/14,709.07 = 3,564.75/x
  3. Step 3: Cross multiply
    9,809.13x = 14,709.07 × 3,564.75
  4. Step 4: Simplify right side
    9,809.13x = 52,434,157.28
  5. Step 5: Solve for x
    x = 52,434,157.28/9,809.13
  6. Step 6: Final answer
    x = 5,345.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.